Question

Find the equation of this line plz help

Answer 1

y = -
`(1)/(2)` x + 1

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = (0, 1) and (x₂, y₂ ) = (4, - 1) ← 2 points on the line

m =
`(-1-1)/(4-0)` =
`(-2)/(4)` = -
`(1)/(2)`

The line crosses the y- axis at (0, 1 ) ⇒ c = 1

y = -
`(1)/(2)` x + 1 ← equation of line